![SOLVED: Question 5: Commutator Identities Prove each of the following commutator identities: (a) [AB,C] = A[B,C] + [A,C]B (b) [x',p] = ihnx^(n-1) (c) [f(x),p] = ih(dÆ'/dx)](https://cdn.numerade.com/ask_images/2e71f495003747b28c5b2a97cd28ca5b.jpg "SOLVED: Question 5: Commutator Identities Prove each of the following commutator identities: (a) [AB,C] = A[B,C] + [A,C]B (b) [x',p] = ihnx^(n-1) (c) [f(x),p] = ih(dÆ'/dx)")
SOLVED: Question 5: Commutator Identities Prove each of the following commutator identities: (a) [AB,C] = A[B,C] + [A,C]B (b) [x',p] = ihnx^(n-1) (c) [f(x),p] = ih(dÆ'/dx)
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![SOLVED: a) Prove the following commutator identities: [A,B+C]=[A,B]+[A,C] [AB,C]=A[B,C]+[A,C]B b) If [Q, P]= ih, show that [Q^n, P]=ihnQ^(n-1) c) Show more generally that [f(Q), P]=inf dQ for any function f(Q) that can](https://cdn.numerade.com/ask_images/3109653d209948228876906ee8fcd6c1.jpg "SOLVED: a) Prove the following commutator identities: [A,B+C]=[A,B]+[A,C] [AB,C]=A[B,C]+[A,C]B b) If [Q, P]= ih, show that [Q^n, P]=ihnQ^(n-1) c) Show more generally that [f(Q), P]=inf dQ for any function f(Q) that can")
SOLVED: a) Prove the following commutator identities: [A,B+C]=[A,B]+[A,C] [AB,C]=A[B,C]+[A,C]B b) If [Q, P]= ih, show that [Q^n, P]=ihnQ^(n-1) c) Show more generally that [f(Q), P]=inf dQ for any function f(Q) that can
11.2: Operator Algebra - Chemistry LibreTexts
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